Can you equip a mount or a pet? Do mounts and pets have stats that affect your character? No?

See, there is a bit more of a "stretch" than you thought.

There's really not.

Ultraxion yells: I am the beginning of buttonclickers...the button which blots out my wipe mechanic...the click which tolls my doom...
Ultraxion yells: For this moment ALONE was I made. Look upon your button, mortals, and click!